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We extend the effective dynamical quasiparticle model (DQPM) - constructedfor the description of non-perturbative QCD phenomena of the stronglyinteracting quark-gluon plasma (QGP) - to large baryon chemical potentials,$\mu_B$, including a critical end-point and a 1st order phase transition. TheDQPM description of quarks and gluons is based on partonic propagators withcomplex selfenergies where the real part of the selfenergies is related to thequasiparticle mass and the imaginary part to a finite width of their spectralfunctions. In DQPM the determination of complex selfenergies for the partonicdegrees of freedom at zero and finite $\mu_B$ has been performed by adjustingthe entropy density to the lQCD data. The temperature-dependent effectivecoupling (squared) $g^2(T/T_c)$, as well as the parton effective masses andwidths are based on this adjustment. The novel extended dynamical quasiparticlemodel, named "DQPM-CP", makes it possible to describe thermodynamical andtransport properties of quarks and gluons in a wide range of $T$ and $\mu_B$,and reproduces the equation-of-state (EoS) of lQCD calculations in thecrossover region of finite $T, \mu_B$. We apply a scaling ansatz for the strongcoupling constant near the CEP, located at ($T^{CEP}$, $\mu^{CEP}_B) = (0.100,0.960)$ GeV. We show the EoS as well as the speed of sound for $T>T_c$ and fora wide range of $\mu_B$, which can be of interest for hydrodynamicalsimulations. Furthermore, we consider two settings for the strange quarkchemical potentials (I) $\mu_s=\mu_B/3$ and (II) $\mu_s=0$. The isentropictrajectories of the QGP matter are compared for these two cases. The phasediagram of DQPM-CP is close to PNJL calculations. The leading order pQCDtransport coefficients of both approaches differ. This elucidates that theknowledge of the phase diagram alone is not sufficient to describe thedynamical evolution of QGP.

physical review. d/physical review. d.

Transport properties and equation-of-state of hot and dense QGP matter  near the critical end-point in the phenomenological dynamical quasi-particle  model